List questions from sorgenfrey-line | MathQA

Sorgenfreyline proof or disproof

Published on 23 Jun 2021 - 7:00

What are the continuous functions $\mathbb{R} \rightarrow \mathbb{R}_l$?

Published on 07 Jul 2021 - 20:04

Describe the topology $L$ inherits as a subspace of $\mathbb{R}_l \times \mathbb{R}$

Published on 14 Jul 2021 - 5:47

What are the path components of $\mathbb{R}_l$?

Published on 05 Aug 2021 - 10:42

Is Sorgenfrey topology generated by interval $[a,b)$ with a being irrational, $b$ being rational

Published on 04 Oct 2021 - 12:25

Union of Upper Limit Topology and Lower Limit Topology is Discrete Topology

Published on 30 Oct 2021 - 12:00

Arbitrary union in lower limit topology

Published on 09 Feb 2022 - 15:37

Total separatedness and separation axioms

Published on 21 Mar 2022 - 9:19

Sorgenfrey line - what is wrong with this argument

Published on 12 Apr 2022 - 9:11

Consider the space $\Bbb R_l$ that is $\Bbb R$ with the lower limit topology. Show that $\Bbb R_l$ is Lindelöf.

Published on 23 Feb 2026 - 9:00

$\mathbb{R}_{\rm Sorg.}$ is paracompact but $\mathbb{R}_{\rm Sorg.} \times \mathbb{R}_{\rm Sorg.}$ is not

Published on 23 Feb 2026 - 10:02

how to prove that the topology generated by the left-closed intervals is finer than the usual topology

Published on 01 Nov 2022 - 22:17